74565928118880 has 768 divisors, whose sum is σ = 286015025479680. Its totient is φ = 17993688883200.

The previous prime is 74565928118867. The next prime is 74565928118881. The reversal of 74565928118880 is 8881182956547.

74565928118880 is a `hidden beast` number, since 7 + 45 + 6 + 59 + 281 + 188 + 80 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 74565928118799 and 74565928118808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74565928118881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9846282774 + ... + 9846290346.

It is an arithmetic number, because the mean of its divisors is an integer number (372415397760).

Almost surely, 2^{74565928118880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74565928118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143007512739840).

74565928118880 is an abundant number, since it is smaller than the sum of its proper divisors (211449097360800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74565928118880 is a wasteful number, since it uses less digits than its factorization.

74565928118880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 72.

The spelling of 74565928118880 in words is "seventy-four trillion, five hundred sixty-five billion, nine hundred twenty-eight million, one hundred eighteen thousand, eight hundred eighty".